Question

The projected population of a city is given by 125,000 (1.11)^ t/20, where t is the number of years after 1995. What is the projected population in 2015?

Answer 1

So,

The function of population is given by:

$P(t)=125,000(1.11)^{\frac{t}{20}}$

Since t is the number of years after 1995.

If we want to find the population in 2015, we could replace t by 20 in the function:

$\begin{gathered} P(20)=125,000(1.11)^{\frac{20}{20}} \\ P(20)=125,000\cdot1.11 \\ P(20)=138,750 \end{gathered}$

Therefore, the projected population in 2015 is 138,750 people.